Аннотация:
It is well known that the validity
of the so called Lenard-Magri scheme of
integrability of a bi-Hamiltonian PDE can be
established if one has some precise information on
the corresponding 1st variational Poisson cohomology for
one of the two Hamiltonian operators. We will see how to
compute the variational Poisson cohomology for any
quasiconstant coefficient Hamiltonian operator with invertible
leading coefficient.